shopping cart vs cart

shopping cart and cart both are nouns.

Word	Noun	Adjective	Verb	Adverb
shopping cart	Yes	No	No	No
cart	Yes	No	Yes	No

As nouns, cart is a hypernym of shopping cart; that is, cart is a word with a broader meaning than shopping cart:

shopping cart: a handcart that holds groceries or other goods while shopping
cart: wheeled vehicle that can be pushed by a person; may have one or two or four wheels

Other hypernyms of shopping cart include go-cart, handcart, pushcart.

shopping cart (noun)	cart (noun)
a handcart that holds groceries or other goods while shopping	a heavy open wagon usually having two wheels and drawn by an animal
	wheeled vehicle that can be pushed by a person; may have one or two or four wheels

shopping cart (verb)	cart (verb)
	draw slowly or heavily
	transport something in a cart